We consider the impact of a ring crack within a rotating hollow cylinder of fixed height under axisymmetric (torsion) loading. The form of the displacement is obtained from the equation of motion using the Fourier sin transform. The displacement jump over the crack is obtained from the boundary condition on the tangential stress, formulated as a singular integral equation which is solved by the method of orthogonal polynomials. The stress intensity factors on the opposing crack surfaces are calculated. The dependence of the crack extension on the problem geometry is investigated, including the impact of the crack’s location, cylinder’s height, torsion loading and rotation frequency. Possible extensions of the model to cover fatigue cracking are considered. Whether the presented model can be used to develop a practical test for detecting cracks is investigated.

我们考虑轴对称（扭转）载荷下固定高度的旋转空心圆柱体内环裂纹的影响。位移的形式是使用傅立叶正弦变换从运动方程获得的。根据切向应力的边界条件得到跨越裂纹的位移跳跃，将其表达为奇异积分方程，并用正交多项式方法求解。计算相对裂纹表面上的应力强度因子。研究了裂纹扩展对问题几何形状的依赖性，包括裂纹位置、圆柱体高度、扭转载荷和旋转频率的影响。考虑了模型可能的扩展以涵盖疲劳裂纹。研究了所提出的模型是否可用于开发检测裂纹的实际测试。